Higher-dimensional forcing

Bernhard Irrgang

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arXiv · 0811.0891

Higher-dimensional forcing

Bernhard Irrgang

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Abstract

This is an overview about a method of constructing ccc forcings: Suppose first that a continuous, commutative system of complete embeddings between countable forcings indexed along $ω_1$ is given. Then its direct limit satisfies ccc by a well-known theorem on finite support iterations. However, this limit has size at most $ω_1$. To get larger forcings, we do not consider linear systems but higher-dimensional systems which are indexed along simplified morasses.

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BibTeX RIS

Bernhard Irrgang. 2008-11-06. Higher-dimensional forcing. https://arxiv.org/abs/0811.0891

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